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Finding the Fourth Proportional to 298.06, 448.05 and 207.40

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Solution

The fourth proportional to 298.06, 448.05 and 207.40 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 448.05 = 207.40 : x
  2. Step 2: Convert to fraction form
    298.06/448.05 = 207.40/x
  3. Step 3: Cross multiply
    298.06x = 448.05 × 207.40
  4. Step 4: Simplify right side
    298.06x = 92,925.57
  5. Step 5: Solve for x
    x = 92,925.57/298.06
  6. Step 6: Final answer
    x = 311.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.